Given Numbers are 146, 152

We can find the LCM of 146, 152 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 146 and 152

Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,

Multiples of 152 =152,304,456,608,760,912,1064,1216,1368,1520,1672,1824,1976,2128,2280,2432,2584,

Now, get the least common multiple of 146, 152 which is 11096

So, the LCM of 146, 152 is 11096.

One method for determining the LCM of 146 and 152 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

And this is 152's prime factorization:

Prime factors of 152 are 2,19.

152 = 2³×19¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,73,19

2³×19¹×73¹ = 11096

This shows that the LCM of 146 and 152 is 11096.

The first step in determining the Least Common Multiple of 146 and 152 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 146 and 152:

Lets look at the first ten multiples of these numbers, 146 and 152:

146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.

152,304,456,608,760,912,1064,1216,1368,2584 are the first ten multiples of 152.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 146 and 152, for example, are 1752, 2482, and 2432. 11096 is the least common multiple since it is the smallest.

146 and 152 have an LCM of 11096.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 152, than apply into the LCM equation.

GCF(146,152) = 2
LCM(146,152) = ( 146 × 152) / 2
LCM(146,152) = 22192 / 2
LCM(146,152) = 11096

1. What is the LCM of 146 and 152?

The LCM of 146 and 152 is 11096.

2. How to find the lowest common multiple of 146 and 152?

To find the lowest common multiple of 146 and 152, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11096.

3. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

4. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

Answer:

Least Common Multiple of 146 and 152 = 11096

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11096 = 2 x 2 x 2 x 19 x 73

Step 4: Therefore, the least common multiple of 146 and 152 is 11096.